Abstract
Present day modeling systems constrain the designer to describe the studied object by means of lists of coordinates, values or geometric primitives which are often complex and tedious to create. Declarative modeling allows us to create shapes by only providing a set a geometric, topological or physical properties. The computer explores the universe of potential shapes, selecting those corresponding to the given definition. Using suitable tools, the designer chooses one or several shapes. A first example of curve modeling using declarative mechanisms is detailed.
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References
Lucas, M., Martin, D., Martin, P., Plémenos, D.: Le projet ExploFormes, quelques pas vers la modélisation déclarative de formes, Bigre n. 67 (1990), 35–49.
Lucas, M.: Equivalence Classes in Object Shape Modelling, IFIP TCS/WG 5.10 Working Conference in Computer Graphics, Tokyo (1991), 8–12.
Desmontils, E.: Les modeleurs déclaratifs, Research Report IRIN n. 95 (1995).
Martin, D., Martin, P.: Declarative Generation of a Family of Polyhedra, Graphicon’93, Saint-Petersburg (1993).
Chauvat, D., Martin, P., Lucas, M.: Modélisation déclarative et contrôle spatial, Revue Internationale de CFAO et d’Infographie 8 (1) (1994), 41–49.
Hoffmann, C. M., Peters, J.: Geometric Constraints for CAGD, in Mathematical Methods for Curves and Surfaces, In M. Dæhlen, T. Lyche, and L. L. Schumaker (eds.): Mathematical Methods in CAGD III, (1995), 237–254.
Bouma, W., Fudos, I., Hoffmann, C., Cai, J., Paige, R.: A Geometric Constraint Solver, Computer Aided Design 27 (1995), 487–502.
Wesselink, W., Veltkamp, R. C.: Interactive Design of Constrained Variational Curves, Computer Aided Geometric Design 12 (1995), 533–546.
Daniel, M.: Une première approche de la modélisation déclarative de courbes, Research Report IRIN n. 81 (1995).
Farin, G.: Curves and Surfaces for Computer Aided Geometric Design — A Practical Guide. 3. ed. Academic Press 1993.
Stone, M. C., Derose, T. D.: A Geometric Characterization of Parametric Cubic Curves, ACM Transactions on Graphics 8, n. 3 (1989), 147–163.
Kantorowitz, E., Schechner, Y.: Managing the Shape of Planar Spline by their Control Points, Computer Aided Design 25 (1993), 355–364.
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© 1996 B. G. Teubner Stuttgart
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Daniel, M. (1996). Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations. In: Hoschek, J., Kaklis, P.D. (eds) Advanced Course on FAIRSHAPE. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-82969-6_7
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DOI: https://doi.org/10.1007/978-3-322-82969-6_7
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-519-02634-1
Online ISBN: 978-3-322-82969-6
eBook Packages: Springer Book Archive